77578164400 has 120 divisors (see below), whose sum is σ = 204392060928. Its totient is φ = 28062240000.

The previous prime is 77578164397. The next prime is 77578164401. The reversal of 77578164400 is 446187577.

It is not an unprimeable number, because it can be changed into a prime (77578164401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 794245 + ... + 886555.

Almost surely, 2^77578164400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77578164400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102196030464).

77578164400 is an abundant number, since it is smaller than the sum of its proper divisors (126813896528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77578164400 is a wasteful number, since it uses less digits than its factorization.

77578164400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92531 (or 92520 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 49.

The spelling of 77578164400 in words is "seventy-seven billion, five hundred seventy-eight million, one hundred sixty-four thousand, four hundred".